Pith Number

pith:B2DQM57A

pith:2016:B2DQM57AC6E2PUP3P4YJT2YFE5

not attested not anchored not stored refs pending

Wild ramification determines the characteristic cycle

Takeshi Saito, Yuri Yatagawa

arxiv:1604.01513 v2 · 2016-04-06 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2DQM57AC6E2PUP3P4YJT2YFE5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:34:23.202125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e870677e01789a7d1fb7f3099eb052751b82c8c1a5d72f174fcf88cfd46f621

Aliases

arxiv: 1604.01513 · arxiv_version: 1604.01513v2 · doi: 10.48550/arxiv.1604.01513 · pith_short_12: B2DQM57AC6E2 · pith_short_16: B2DQM57AC6E2PUP3 · pith_short_8: B2DQM57A

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B2DQM57AC6E2PUP3P4YJT2YFE5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0e870677e01789a7d1fb7f3099eb052751b82c8c1a5d72f174fcf88cfd46f621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c631d17e31423f808d5ccf5ea59e986d6f359665d52d8a768bc696c1db51231c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-06T07:20:58Z",
    "title_canon_sha256": "123349b646654d70ab264b1b40b9919db3997f8382dfd89ad2ad426ec88b6370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01513",
    "kind": "arxiv",
    "version": 2
  }
}